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The instantaneous value of the induced e.m.f as a function of time is E = EoSinwt where Eo is the
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Jan 28, 2025
The instantaneous value of the induced e.m.f as a function of time is E = EoSinwt where Eo is the peak value of the e.m.f. The instantaneous value of the e.m.f, one quarter of the period is
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the instantaneous value of the induced
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EMF as a function of time is eal to e
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sin Omega T where e is the F value of
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the
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EMF EMF is the electr motive
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Force the instantaneous value of the EMF
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one quter of the period
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is now we start with our data but let us
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read the question stous value of the
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induced EMF which is electromotive force
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as a
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function of time is eal e e sin Omega T
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where e is the P value of
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the in of the EMF of the EM EMF
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therefore we
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have e is e not
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is equals to is the F value which is
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e the instantaneous value of the EMF 1
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qu of the period 1 qu of the
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period
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is what remember
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period
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here isal
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to Theta which is equal to Omega t and
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this is the pH angle and the formula
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given to us is this e is Omega T which
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is the
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instantaneous uh EMF
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and therefore we
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write e isal to
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e sin of Omega
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T now let's go back to the formula let
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us continue from here
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the period which is Omega T is equals to
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remember period is equal to
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360° therefore in this case our period
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which is Theta Theta is equals to
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360° but there's something that I want
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you to note it says 1 qu of the period
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which means one qu which is
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*
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1/ 4 and this is going to give us this
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is equal to
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360° all over 4 and therefore Theta
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which is the face angle which is Omega T
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isal to 360 / 4 will give us
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90° now the formula we supposed to use
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use
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is e isal e sin of omeg T which can also
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be expressed as e not
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sin
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Theta now let us start solving the
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problem since we have the formula V isal
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to
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a sin of theta
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this can also be written
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as e is equal
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to is equals to sorry this is equals
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to e is equal to e therefore write
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a
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sign
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WR sin Omega T isal to Theta here which
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is 90°
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therefore s of
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90° and this is going to give us eal to
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e * sin of 90° isal to 1 which is which
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implies that and this implies that the
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instantaneous
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current sorry EMF is equals to e * 1
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isal
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to E
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hence and this is the final answer so
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let me read it for you so that you can
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see again our data from the question e
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is e equal e period is
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360° which is the face angle which is
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Theta and from the question it says one
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qu of the F therefore of thei is 360° *
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1 4 which is 3 60° / 4 and it is going
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to give us 90° therefore by substituting
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our formula with
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uh using our data applying our data into
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our formula we will have eal e sin 90°
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and sin of 90° isal 1 therefore we have
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e = e * 1 and E * 1 is = to E
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therefore we have eal e and in this case
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since e is equal to
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instantaneous uh EMF and eot is the F
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value of the EMF we can now say that the
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instantaneous value of the EMF is equals
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to the F value of the EMF
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